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Finding the Fourth Proportional to 380,205.66, 524,800.62 and 219,168.36

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Solution

The fourth proportional to 380,205.66, 524,800.62 and 219,168.36 is: 302,519.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,205.66 : 524,800.62 = 219,168.36 : x
  2. Step 2: Convert to fraction form
    380,205.66/524,800.62 = 219,168.36/x
  3. Step 3: Cross multiply
    380,205.66x = 524,800.62 × 219,168.36
  4. Step 4: Simplify right side
    380,205.66x = 115,019,691,212.38
  5. Step 5: Solve for x
    x = 115,019,691,212.38/380,205.66
  6. Step 6: Final answer
    x = 302,519.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.